%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV080^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:37:36 AM UTC 2026
% Result : Theorem 3.20s 0.80s
% Output : Refutation 3.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV080^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.28 % Computer : n020.cluster.edu
% 0.13/0.28 % Model : x86_64 x86_64
% 0.13/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.28 % Memory : 8046.5625MB
% 0.13/0.28 % OS : Linux 6.8.0-71-generic
% 0.13/0.28 % CPULimit : 300
% 0.13/0.28 % WCLimit : 300
% 0.13/0.28 % DateTime : Tue Sep 29 15:07:50 UTC 2026
% 0.13/0.28 % CPUTime :
% 0.13/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.29/0.34 Running higher-order theorem proving
% 0.29/0.35 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.50 % (1169243)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.35/0.50 % (1169251)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=53185727:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.35/0.50 % (1169251)Refutation not found, incomplete strategy
% 0.35/0.50 % (1169251)------------------------------
% 0.35/0.50 % (1169251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.50 % (1169251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.50 % (1169251)CaDiCaL version: 2.1.3
% 0.35/0.50 % (1169251)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.50 % (1169251)Time elapsed: 0.003 s
% 0.35/0.50 % (1169251)Peak memory usage: 12 MB
% 0.35/0.50 % (1169251)Instructions burned: 5 (million)
% 0.35/0.50 % (1169251)------------------------------
% 0.35/0.50 % (1169251)------------------------------
% 0.35/0.50 % (1169254)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.35/0.51 % (1169254)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.35/0.51 % (1169249)lrs+10_16_si=on:nwc=1.5:random_seed=969953915:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.35/0.51 % (1169248)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3517261900:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.35/0.51 % (1169250)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4163271103:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.35/0.51 % (1169252)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1188167521:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.35/0.51 % (1169253)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=588587349:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.35/0.51 % (1169254)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=492643541:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.35/0.51 % (1169250)Refutation not found, incomplete strategy
% 0.35/0.51 % (1169250)------------------------------
% 0.35/0.51 % (1169250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.51 % (1169250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.51 % (1169250)CaDiCaL version: 2.1.3
% 0.35/0.51 % (1169250)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.51 % (1169250)Time elapsed: 0.003 s
% 0.35/0.51 % (1169250)Peak memory usage: 12 MB
% 0.35/0.51 % (1169250)Instructions burned: 2 (million)
% 0.35/0.51 % (1169250)------------------------------
% 0.35/0.51 % (1169250)------------------------------
% 0.35/0.51 % (1169248)Refutation not found, incomplete strategy
% 0.35/0.51 % (1169248)------------------------------
% 0.35/0.51 % (1169248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.51 % (1169248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.51 % (1169248)CaDiCaL version: 2.1.3
% 0.35/0.51 % (1169248)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.51 % (1169248)Time elapsed: 0.005 s
% 0.35/0.51 % (1169248)Peak memory usage: 12 MB
% 0.35/0.51 % (1169248)Instructions burned: 4 (million)
% 0.35/0.51 % (1169252)Refutation not found, incomplete strategy
% 0.35/0.51 % (1169252)------------------------------
% 0.35/0.51 % (1169252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.35/0.51 % (1169252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.35/0.51 % (1169252)CaDiCaL version: 2.1.3
% 0.35/0.51 % (1169252)Termination reason: Refutation not found, incomplete strategy
% 0.35/0.51 % (1169252)Time elapsed: 0.005 s
% 0.35/0.51 % (1169252)Peak memory usage: 12 MB
% 0.35/0.51 % (1169252)Instructions burned: 4 (million)
% 0.35/0.51 % (1169248)------------------------------
% 0.35/0.51 % (1169248)------------------------------
% 0.35/0.51 % (1169252)------------------------------
% 0.35/0.51 % (1169252)------------------------------
% 1.00/0.54 % (1169256)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1471171087:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.00/0.54 % (1169254)Refutation not found, incomplete strategy
% 1.00/0.54 % (1169254)------------------------------
% 1.00/0.54 % (1169254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.54 % (1169254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.54 % (1169254)CaDiCaL version: 2.1.3
% 1.00/0.54 % (1169254)Termination reason: Refutation not found, incomplete strategy
% 1.00/0.54 % (1169254)Time elapsed: 0.007 s
% 1.00/0.54 % (1169254)Peak memory usage: 12 MB
% 1.00/0.54 % (1169254)Instructions burned: 6 (million)
% 1.00/0.54 % (1169254)------------------------------
% 1.00/0.54 % (1169254)------------------------------
% 1.00/0.54 % (1169256)Instruction limit reached!
% 1.00/0.54 % (1169256)------------------------------
% 1.00/0.54 % (1169256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.54 % (1169256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.54 % (1169256)CaDiCaL version: 2.1.3
% 1.00/0.54 % (1169256)Termination reason: Instruction limit
% 1.00/0.54 % (1169256)Termination phase: Saturation
% 1.00/0.54 % (1169256)Time elapsed: 0.002 s
% 1.00/0.54 % (1169256)Peak memory usage: 12 MB
% 1.00/0.54 % (1169256)Instructions burned: 3 (million)
% 1.00/0.54 % (1169249)Instruction limit reached!
% 1.00/0.54 % (1169249)------------------------------
% 1.00/0.54 % (1169249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.54 % (1169249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.54 % (1169249)CaDiCaL version: 2.1.3
% 1.00/0.54 % (1169249)Termination reason: Instruction limit
% 1.00/0.54 % (1169249)Termination phase: Saturation
% 1.00/0.54 % (1169249)Time elapsed: 0.018 s
% 1.00/0.54 % (1169249)Peak memory usage: 12 MB
% 1.00/0.54 % (1169249)Instructions burned: 19 (million)
% 1.00/0.54 % (1169267)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.00/0.54 % (1169267)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.00/0.54 % (1169267)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2651815916:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.00/0.54 % (1169264)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.00/0.54 % (1169263)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=157415698:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.00/0.54 % (1169264)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1845779051:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.00/0.54 % (1169266)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1108722212:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.00/0.54 % (1169267)Instruction limit reached!
% 1.00/0.54 % (1169267)------------------------------
% 1.00/0.54 % (1169267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.54 % (1169267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.54 % (1169267)CaDiCaL version: 2.1.3
% 1.00/0.54 % (1169267)Termination reason: Instruction limit
% 1.00/0.54 % (1169267)Termination phase: Saturation
% 1.00/0.54 % (1169267)Time elapsed: 0.014 s
% 1.00/0.54 % (1169267)Peak memory usage: 12 MB
% 1.00/0.54 % (1169267)Instructions burned: 29 (million)
% 1.00/0.54 % (1169268)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1649103984:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.00/0.54 % (1169263)Instruction limit reached!
% 1.00/0.54 % (1169263)------------------------------
% 1.00/0.54 % (1169263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.54 % (1169263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.58 % (1169263)CaDiCaL version: 2.1.3
% 1.00/0.58 % (1169263)Termination reason: Instruction limit
% 1.00/0.58 % (1169263)Termination phase: Saturation
% 1.00/0.58 % (1169263)Time elapsed: 0.006 s
% 1.00/0.58 % (1169263)Peak memory usage: 12 MB
% 1.00/0.58 % (1169263)Instructions burned: 5 (million)
% 1.00/0.58 % (1169264)Instruction limit reached!
% 1.00/0.58 % (1169264)------------------------------
% 1.00/0.58 % (1169264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.58 % (1169264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.58 % (1169264)CaDiCaL version: 2.1.3
% 1.00/0.58 % (1169264)Termination reason: Instruction limit
% 1.00/0.58 % (1169264)Termination phase: Saturation
% 1.00/0.58 % (1169264)Time elapsed: 0.008 s
% 1.00/0.58 % (1169264)Peak memory usage: 12 MB
% 1.00/0.58 % (1169264)Instructions burned: 8 (million)
% 1.00/0.58 % (1169269)lrs+10_1_si=on:cs=on:random_seed=1252293342:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.00/0.58 % (1169266)Instruction limit reached!
% 1.00/0.58 % (1169266)------------------------------
% 1.00/0.58 % (1169266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.58 % (1169266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.58 % (1169266)CaDiCaL version: 2.1.3
% 1.00/0.58 % (1169266)Termination reason: Instruction limit
% 1.00/0.58 % (1169266)Termination phase: Saturation
% 1.00/0.58 % (1169266)Time elapsed: 0.013 s
% 1.00/0.58 % (1169266)Peak memory usage: 12 MB
% 1.00/0.58 % (1169266)Instructions burned: 12 (million)
% 1.00/0.58 % (1169275)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.00/0.58 % (1169269)Instruction limit reached!
% 1.00/0.58 % (1169269)------------------------------
% 1.00/0.58 % (1169269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.58 % (1169269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.58 % (1169269)CaDiCaL version: 2.1.3
% 1.00/0.58 % (1169269)Termination reason: Instruction limit
% 1.00/0.58 % (1169269)Termination phase: Saturation
% 1.00/0.58 % (1169269)Time elapsed: 0.009 s
% 1.00/0.58 % (1169269)Peak memory usage: 12 MB
% 1.00/0.58 % (1169269)Instructions burned: 9 (million)
% 1.00/0.58 % (1169275)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2093842950:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.00/0.58 % (1169275)Instruction limit reached!
% 1.00/0.58 % (1169275)------------------------------
% 1.00/0.58 % (1169275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.58 % (1169275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.58 % (1169275)CaDiCaL version: 2.1.3
% 1.00/0.58 % (1169275)Termination reason: Instruction limit
% 1.00/0.58 % (1169275)Termination phase: Saturation
% 1.00/0.58 % (1169275)Time elapsed: 0.001 s
% 1.00/0.58 % (1169275)Peak memory usage: 12 MB
% 1.00/0.58 % (1169275)Instructions burned: 2 (million)
% 1.00/0.58 % (1169253)Instruction limit reached!
% 1.00/0.58 % (1169253)------------------------------
% 1.00/0.58 % (1169253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.58 % (1169253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.00/0.58 % (1169253)CaDiCaL version: 2.1.3
% 1.00/0.58 % (1169253)Termination reason: Instruction limit
% 1.00/0.58 % (1169253)Termination phase: Saturation
% 1.00/0.58 % (1169253)Time elapsed: 0.068 s
% 1.00/0.58 % (1169253)Peak memory usage: 13 MB
% 1.00/0.58 % (1169253)Instructions burned: 75 (million)
% 1.00/0.58 % (1169276)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1681649334:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.00/0.58 % (1169277)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=686452610:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.00/0.58 % (1169282)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3618680023:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.00/0.58 % (1169282)Refutation not found, incomplete strategy
% 1.00/0.58 % (1169282)------------------------------
% 1.00/0.58 % (1169282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.00/0.58 % (1169282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.63 % (1169282)CaDiCaL version: 2.1.3
% 1.69/0.63 % (1169282)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.63 % (1169282)Time elapsed: 0.003 s
% 1.69/0.63 % (1169282)Peak memory usage: 12 MB
% 1.69/0.63 % (1169282)Instructions burned: 6 (million)
% 1.69/0.63 % (1169282)------------------------------
% 1.69/0.63 % (1169282)------------------------------
% 1.69/0.63 % (1169276)Refutation not found, incomplete strategy
% 1.69/0.63 % (1169276)------------------------------
% 1.69/0.63 % (1169276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.63 % (1169276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.63 % (1169276)CaDiCaL version: 2.1.3
% 1.69/0.63 % (1169276)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.63 % (1169276)Time elapsed: 0.006 s
% 1.69/0.63 % (1169276)Peak memory usage: 12 MB
% 1.69/0.63 % (1169276)Instructions burned: 4 (million)
% 1.69/0.63 % (1169276)------------------------------
% 1.69/0.63 % (1169276)------------------------------
% 1.69/0.63 % (1169279)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2318063714:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.69/0.63 % (1169280)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=871420151:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.69/0.63 % (1169280)Refutation not found, incomplete strategy
% 1.69/0.63 % (1169280)------------------------------
% 1.69/0.63 % (1169280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.63 % (1169280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.63 % (1169280)CaDiCaL version: 2.1.3
% 1.69/0.63 % (1169280)Termination reason: Refutation not found, incomplete strategy
% 1.69/0.63 % (1169280)Time elapsed: 0.005 s
% 1.69/0.63 % (1169280)Peak memory usage: 12 MB
% 1.69/0.63 % (1169280)Instructions burned: 4 (million)
% 1.69/0.63 % (1169280)------------------------------
% 1.69/0.63 % (1169280)------------------------------
% 1.69/0.63 % (1169287)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=498433922:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.69/0.63 % (1169287)Instruction limit reached!
% 1.69/0.63 % (1169287)------------------------------
% 1.69/0.63 % (1169287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.63 % (1169287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.63 % (1169287)CaDiCaL version: 2.1.3
% 1.69/0.63 % (1169287)Termination reason: Instruction limit
% 1.69/0.63 % (1169287)Time elapsed: 0.002 s
% 1.69/0.63 % (1169287)Peak memory usage: 12 MB
% 1.69/0.63 % (1169287)Instructions burned: 3 (million)
% 1.69/0.63 % (1169283)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3505767380:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.69/0.63 % (1169279)Instruction limit reached!
% 1.69/0.63 % (1169279)------------------------------
% 1.69/0.63 % (1169279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.63 % (1169279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.63 % (1169279)CaDiCaL version: 2.1.3
% 1.69/0.63 % (1169279)Termination reason: Instruction limit
% 1.69/0.63 % (1169279)Termination phase: Saturation
% 1.69/0.63 % (1169279)Time elapsed: 0.023 s
% 1.69/0.63 % (1169279)Peak memory usage: 12 MB
% 1.69/0.63 % (1169279)Instructions burned: 25 (million)
% 1.69/0.63 % (1169289)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2260430219:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.69/0.63 % (1169268)Instruction limit reached!
% 1.69/0.63 % (1169268)------------------------------
% 1.69/0.63 % (1169268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.63 % (1169268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.63 % (1169283)Instruction limit reached!
% 1.69/0.63 % (1169283)------------------------------
% 1.69/0.63 % (1169283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.69/0.63 % (1169283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.69/0.63 % (1169268)CaDiCaL version: 2.1.3
% 1.69/0.63 % (1169268)Termination reason: Instruction limit
% 2.04/0.72 % (1169268)Termination phase: Saturation
% 2.04/0.72 % (1169268)Time elapsed: 0.079 s
% 2.04/0.72 % (1169268)Peak memory usage: 12 MB
% 2.04/0.72 % (1169268)Instructions burned: 86 (million)
% 2.04/0.72 % (1169283)CaDiCaL version: 2.1.3
% 2.04/0.72 % (1169283)Termination reason: Instruction limit
% 2.04/0.72 % (1169283)Termination phase: Saturation
% 2.04/0.72 % (1169283)Time elapsed: 0.016 s
% 2.04/0.72 % (1169283)Peak memory usage: 12 MB
% 2.04/0.72 % (1169283)Instructions burned: 14 (million)
% 2.04/0.72 % (1169291)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1592047768:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.04/0.72 % (1169293)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1535645601:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.04/0.72 % (1169295)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.04/0.72 % (1169295)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.04/0.72 % (1169293)Refutation not found, incomplete strategy
% 2.04/0.72 % (1169293)------------------------------
% 2.04/0.72 % (1169293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.72 % (1169293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.72 % (1169293)CaDiCaL version: 2.1.3
% 2.04/0.72 % (1169293)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.72 % (1169293)Time elapsed: 0.005 s
% 2.04/0.72 % (1169293)Peak memory usage: 12 MB
% 2.04/0.72 % (1169293)Instructions burned: 4 (million)
% 2.04/0.72 % (1169293)------------------------------
% 2.04/0.72 % (1169293)------------------------------
% 2.04/0.72 % (1169289)Instruction limit reached!
% 2.04/0.72 % (1169289)------------------------------
% 2.04/0.72 % (1169289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.72 % (1169289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.72 % (1169289)CaDiCaL version: 2.1.3
% 2.04/0.72 % (1169289)Termination reason: Instruction limit
% 2.04/0.72 % (1169289)Termination phase: Saturation
% 2.04/0.72 % (1169289)Time elapsed: 0.022 s
% 2.04/0.72 % (1169289)Peak memory usage: 12 MB
% 2.04/0.72 % (1169289)Instructions burned: 26 (million)
% 2.04/0.72 % (1169295)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=235755343:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.04/0.72 % (1169297)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.04/0.72 % (1169298)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=422764858:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.04/0.72 % (1169297)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=426310689:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.04/0.72 % (1169291)Instruction limit reached!
% 2.04/0.72 % (1169291)------------------------------
% 2.04/0.72 % (1169291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.72 % (1169291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.72 % (1169291)CaDiCaL version: 2.1.3
% 2.04/0.72 % (1169291)Termination reason: Instruction limit
% 2.04/0.72 % (1169291)Termination phase: Saturation
% 2.04/0.72 % (1169291)Time elapsed: 0.027 s
% 2.04/0.72 % (1169291)Peak memory usage: 11 MB
% 2.04/0.72 % (1169291)Instructions burned: 24 (million)
% 2.04/0.72 % (1169295)Instruction limit reached!
% 2.04/0.72 % (1169295)------------------------------
% 2.04/0.72 % (1169295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.72 % (1169295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.72 % (1169295)CaDiCaL version: 2.1.3
% 2.04/0.72 % (1169295)Termination reason: Instruction limit
% 2.04/0.72 % (1169295)Termination phase: Saturation
% 2.04/0.72 % (1169295)Time elapsed: 0.015 s
% 2.04/0.72 % (1169295)Peak memory usage: 12 MB
% 2.04/0.72 % (1169295)Instructions burned: 14 (million)
% 2.04/0.76 % (1169298)Refutation not found, incomplete strategy
% 2.04/0.76 % (1169298)------------------------------
% 2.04/0.76 % (1169298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.76 % (1169298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.76 % (1169298)CaDiCaL version: 2.1.3
% 2.04/0.76 % (1169298)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.76 % (1169298)Time elapsed: 0.007 s
% 2.04/0.76 % (1169298)Peak memory usage: 12 MB
% 2.04/0.76 % (1169298)Instructions burned: 6 (million)
% 2.04/0.76 % (1169301)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1062990556:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.04/0.76 % (1169298)------------------------------
% 2.04/0.76 % (1169298)------------------------------
% 2.04/0.76 % (1169297)Instruction limit reached!
% 2.04/0.76 % (1169297)------------------------------
% 2.04/0.76 % (1169297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.76 % (1169297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.76 % (1169297)CaDiCaL version: 2.1.3
% 2.04/0.76 % (1169297)Termination reason: Instruction limit
% 2.04/0.76 % (1169297)Termination phase: Saturation
% 2.04/0.76 % (1169297)Time elapsed: 0.010 s
% 2.04/0.76 % (1169297)Peak memory usage: 12 MB
% 2.04/0.76 % (1169297)Instructions burned: 8 (million)
% 2.04/0.76 % (1169301)Instruction limit reached!
% 2.04/0.76 % (1169301)------------------------------
% 2.04/0.76 % (1169301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.76 % (1169301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.76 % (1169301)CaDiCaL version: 2.1.3
% 2.04/0.76 % (1169301)Termination reason: Instruction limit
% 2.04/0.76 % (1169301)Termination phase: Saturation
% 2.04/0.76 % (1169301)Time elapsed: 0.005 s
% 2.04/0.76 % (1169301)Peak memory usage: 12 MB
% 2.04/0.76 % (1169301)Instructions burned: 9 (million)
% 2.04/0.76 % (1169303)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3226357818:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.04/0.76 % (1169311)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3031736518:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.04/0.76 % (1169306)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1081583571:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.04/0.76 % (1169308)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2600505064:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.04/0.76 % (1169309)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2237342721:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.04/0.76 % (1169310)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=19559281:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.04/0.76 % (1169303)Instruction limit reached!
% 2.04/0.76 % (1169303)------------------------------
% 2.04/0.76 % (1169303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.76 % (1169303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.76 % (1169303)CaDiCaL version: 2.1.3
% 2.04/0.76 % (1169303)Termination reason: Instruction limit
% 2.04/0.76 % (1169303)Termination phase: Saturation
% 2.04/0.76 % (1169303)Time elapsed: 0.019 s
% 2.04/0.76 % (1169303)Peak memory usage: 11 MB
% 2.04/0.76 % (1169303)Instructions burned: 23 (million)
% 2.04/0.76 % (1169310)Refutation not found, incomplete strategy
% 2.04/0.76 % (1169310)------------------------------
% 2.04/0.76 % (1169310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.76 % (1169310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.76 % (1169310)CaDiCaL version: 2.1.3
% 2.04/0.76 % (1169310)Termination reason: Refutation not found, incomplete strategy
% 2.04/0.76 % (1169310)Time elapsed: 0.006 s
% 2.04/0.76 % (1169310)Peak memory usage: 12 MB
% 2.04/0.76 % (1169310)Instructions burned: 5 (million)
% 2.04/0.76 % (1169310)------------------------------
% 2.04/0.76 % (1169310)------------------------------
% 2.04/0.76 % (1169311)Instruction limit reached!
% 2.04/0.76 % (1169311)------------------------------
% 2.04/0.76 % (1169311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.80 % (1169311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.80 % (1169311)CaDiCaL version: 2.1.3
% 2.04/0.80 % (1169311)Termination reason: Instruction limit
% 2.04/0.80 % (1169311)Termination phase: Saturation
% 2.04/0.80 % (1169311)Time elapsed: 0.020 s
% 2.04/0.80 % (1169311)Peak memory usage: 12 MB
% 2.04/0.80 % (1169311)Instructions burned: 44 (million)
% 2.04/0.80 % (1169306)Instruction limit reached!
% 2.04/0.80 % (1169306)------------------------------
% 2.04/0.80 % (1169306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.80 % (1169306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.80 % (1169306)CaDiCaL version: 2.1.3
% 2.04/0.80 % (1169306)Termination reason: Instruction limit
% 2.04/0.80 % (1169306)Termination phase: Saturation
% 2.04/0.80 % (1169306)Time elapsed: 0.021 s
% 2.04/0.80 % (1169306)Peak memory usage: 12 MB
% 2.04/0.80 % (1169306)Instructions burned: 21 (million)
% 2.04/0.80 % (1169319)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1535703427:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 3.20/0.80 % (1169318)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 3.20/0.80 % (1169318)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3623126522:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 3.20/0.80 % (1169320)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2205029012:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 3.20/0.80 % (1169321)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 3.20/0.80 % (1169318)Instruction limit reached!
% 3.20/0.80 % (1169318)------------------------------
% 3.20/0.80 % (1169318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.80 % (1169318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.80 % (1169318)CaDiCaL version: 2.1.3
% 3.20/0.80 % (1169318)Termination reason: Instruction limit
% 3.20/0.80 % (1169318)Termination phase: Saturation
% 3.20/0.80 % (1169318)Time elapsed: 0.007 s
% 3.20/0.80 % (1169318)Peak memory usage: 12 MB
% 3.20/0.80 % (1169318)Instructions burned: 7 (million)
% 3.20/0.80 % (1169321)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3942197794:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 3.20/0.80 % (1169321)Instruction limit reached!
% 3.20/0.80 % (1169321)------------------------------
% 3.20/0.80 % (1169321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.80 % (1169321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.80 % (1169321)CaDiCaL version: 2.1.3
% 3.20/0.80 % (1169321)Termination reason: Instruction limit
% 3.20/0.80 % (1169321)Termination phase: Saturation
% 3.20/0.80 % (1169321)Time elapsed: 0.006 s
% 3.20/0.80 % (1169321)Peak memory usage: 12 MB
% 3.20/0.80 % (1169321)Instructions burned: 6 (million)
% 3.20/0.80 % (1169325)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1063385018:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 3.20/0.80 % (1169277)Instruction limit reached!
% 3.20/0.80 % (1169277)------------------------------
% 3.20/0.80 % (1169277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.80 % (1169277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.80 % (1169277)CaDiCaL version: 2.1.3
% 3.20/0.80 % (1169277)Termination reason: Instruction limit
% 3.20/0.80 % (1169277)Termination phase: Saturation
% 3.20/0.80 % (1169277)Time elapsed: 0.201 s
% 3.20/0.80 % (1169277)Peak memory usage: 13 MB
% 3.20/0.80 % (1169277)Instructions burned: 249 (million)
% 3.20/0.80 % (1169327)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3802431803:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 3.20/0.80 % (1169325)Instruction limit reached!
% 3.20/0.80 % (1169325)------------------------------
% 3.20/0.80 % (1169325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.80 % (1169325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.80 % (1169325)CaDiCaL version: 2.1.3
% 3.20/0.80 % (1169325)Termination reason: Instruction limit
% 3.20/0.80 % (1169325)Termination phase: Saturation
% 3.20/0.80 % (1169325)Time elapsed: 0.024 s
% 3.20/0.80 % (1169325)Peak memory usage: 12 MB
% 3.20/0.80 % (1169325)Instructions burned: 23 (million)
% 3.20/0.80 % (1169327)Instruction limit reached!
% 3.20/0.80 % (1169327)------------------------------
% 3.20/0.80 % (1169327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.80 % (1169327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.80 % (1169327)CaDiCaL version: 2.1.3
% 3.20/0.80 % (1169327)Termination reason: Instruction limit
% 3.20/0.80 % (1169327)Termination phase: Saturation
% 3.20/0.80 % (1169327)Time elapsed: 0.018 s
% 3.20/0.80 % (1169327)Peak memory usage: 12 MB
% 3.20/0.80 % (1169327)Instructions burned: 19 (million)
% 3.20/0.80 % (1169319)Instruction limit reached!
% 3.20/0.80 % (1169319)------------------------------
% 3.20/0.80 % (1169319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.80 % (1169319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.80 % (1169319)CaDiCaL version: 2.1.3
% 3.20/0.80 % (1169319)Termination reason: Instruction limit
% 3.20/0.80 % (1169319)Termination phase: Saturation
% 3.20/0.80 % (1169319)Time elapsed: 0.083 s
% 3.20/0.80 % (1169319)Peak memory usage: 13 MB
% 3.20/0.80 % (1169319)Instructions burned: 182 (million)
% 3.20/0.80 % (1169329)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=3924892705:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 3.20/0.80 % (1169309)Instruction limit reached!
% 3.20/0.80 % (1169309)------------------------------
% 3.20/0.80 % (1169309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.80 % (1169309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.80 % (1169309)CaDiCaL version: 2.1.3
% 3.20/0.80 % (1169309)Termination reason: Instruction limit
% 3.20/0.80 % (1169309)Termination phase: Saturation
% 3.20/0.80 % (1169309)Time elapsed: 0.128 s
% 3.20/0.80 % (1169309)Peak memory usage: 13 MB
% 3.20/0.80 % (1169309)Instructions burned: 143 (million)
% 3.20/0.80 % (1169333)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=1034798331:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.20/0.80 % (1169333)Refutation not found, incomplete strategy
% 3.20/0.80 % (1169333)------------------------------
% 3.20/0.80 % (1169333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.80 % (1169333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.80 % (1169333)CaDiCaL version: 2.1.3
% 3.20/0.80 % (1169333)Termination reason: Refutation not found, incomplete strategy
% 3.20/0.80 % (1169333)Time elapsed: 0.003 s
% 3.20/0.80 % (1169333)Peak memory usage: 12 MB
% 3.20/0.80 % (1169333)Instructions burned: 4 (million)
% 3.20/0.80 % (1169333)------------------------------
% 3.20/0.80 % (1169333)------------------------------
% 3.20/0.80 % (1169331)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=3742213409:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.20/0.80 % (1169332)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=2869101651:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.20/0.80 % (1169331)Refutation not found, incomplete strategy
% 3.20/0.80 % (1169331)------------------------------
% 3.20/0.80 % (1169331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.80 % (1169331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.80 % (1169331)CaDiCaL version: 2.1.3
% 3.20/0.80 % (1169331)Termination reason: Refutation not found, incomplete strategy
% 3.20/0.80 % (1169331)Time elapsed: 0.005 s
% 3.20/0.80 % (1169331)Peak memory usage: 12 MB
% 3.20/0.80 % (1169331)Instructions burned: 4 (million)
% 3.20/0.80 % (1169331)------------------------------
% 3.20/0.80 % (1169331)------------------------------
% 3.20/0.80 % (1169332)Refutation not found, incomplete strategy
% 3.20/0.80 % (1169332)------------------------------
% 3.20/0.80 % (1169332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.80 % (1169332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.80 % (1169332)CaDiCaL version: 2.1.3
% 3.20/0.80 % (1169332)Termination reason: Refutation not found, incomplete strategy
% 3.20/0.80 % (1169332)Time elapsed: 0.004 s
% 3.20/0.80 % (1169332)Peak memory usage: 12 MB
% 3.20/0.80 % (1169332)Instructions burned: 3 (million)
% 3.20/0.80 % (1169332)------------------------------
% 3.20/0.80 % (1169332)------------------------------
% 3.20/0.80 % (1169337)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.20/0.80 % (1169337)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2880766284:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.20/0.80 % (1169336)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1663237616:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 3.20/0.80 % (1169340)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3341714558:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.20/0.80 % (1169341)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1224226962:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.20/0.80 % (1169337) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1169243-1169337"...
% 3.20/0.80 % (1169336)Instruction limit reached!
% 3.20/0.80 % (1169336)------------------------------
% 3.20/0.80 % (1169336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.80 % (1169336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.80 % (1169336)CaDiCaL version: 2.1.3
% 3.20/0.80 % (1169336)Termination reason: Instruction limit
% 3.20/0.80 % (1169336)Termination phase: Saturation
% 3.20/0.80 % (1169336)Time elapsed: 0.020 s
% 3.20/0.80 % (1169336)Peak memory usage: 12 MB
% 3.20/0.80 % (1169336)Instructions burned: 22 (million)
% 3.20/0.80 % (1169337)...printing done.
% 3.20/0.80 % (1169320)Instruction limit reached!
% 3.20/0.80 % (1169320)------------------------------
% 3.20/0.80 % (1169320)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.80 % (1169320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.80 % (1169320)CaDiCaL version: 2.1.3
% 3.20/0.80 % (1169320)Termination reason: Instruction limit
% 3.20/0.80 % (1169320)Termination phase: Saturation
% 3.20/0.80 % (1169320)Time elapsed: 0.139 s
% 3.20/0.80 % (1169320)Peak memory usage: 12 MB
% 3.20/0.80 % (1169320)Instructions burned: 170 (million)
% 3.20/0.80 % (1169337)Refutation found. Thanks to Tanya!
% 3.20/0.80 % SZS status Theorem for theBenchmark
% 3.20/0.80 % SZS output start Proof for theBenchmark
% 3.20/0.80 thf(type_def_5, type, a: $tType).
% 3.20/0.80 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 3.20/0.80 thf(func_def_3, type, db1: !>[X0: $tType]:(X0)).
% 3.20/0.80 thf(func_def_4, type, db0: !>[X0: $tType]:(X0)).
% 3.20/0.80 thf(func_def_5, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.20/0.80 thf(func_def_6, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.20/0.80 thf(func_def_7, type, vAND: ($o > $o > $o)).
% 3.20/0.80 thf(func_def_8, type, sK0: (a > $o)).
% 3.20/0.80 thf(func_def_9, type, sK1: ((a > a) > a)).
% 3.20/0.80 thf(func_def_10, type, sK2: ((a > a) > a)).
% 3.20/0.80 thf(func_def_11, type, sK3: (a > (a > a) > a)).
% 3.20/0.80 thf(func_def_12, type, sK4: (a > (a > a) > a)).
% 3.20/0.80 thf(func_def_13, type, db2: !>[X0: $tType]:(X0)).
% 3.20/0.80 thf(func_def_14, type, sK5: ((a > a > a) > a)).
% 3.20/0.80 thf(func_def_15, type, db3: !>[X0: $tType]:(X0)).
% 3.20/0.80 thf(func_def_16, type, db4: !>[X0: $tType]:(X0)).
% 3.20/0.80 thf(f1,conjecture,(
% 3.20/0.80 ! [X0 : (a > $o)] : ? [X1 : (a > a)] : (! [X2 : a] : ((X0 @ X2) => (X0 @ (X1 @ X2))) & ! [X3 : a] : ((X0 @ X3) => ? [X4 : a] : ((((^[X0 : a, X3 : a] : ((X0 = X3))) @ X4)) = (^[X2 : a] : ((X0 @ X2) & (X3 = ((X1 @ X2))))))))),
% 3.20/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEQP_1A_pme)).
% 3.20/0.80 thf(f2,negated_conjecture,(
% 3.20/0.80 ~ ! [X0 : (a > $o)] : ? [X1 : (a > a)] : (! [X2 : a] : ((X0 @ X2) => (X0 @ (X1 @ X2))) & ! [X3 : a] : ((X0 @ X3) => ? [X4 : a] : ((((^[X0 : a, X3 : a] : ((X0 = X3))) @ X4)) = (^[X2 : a] : ((X0 @ X2) & (X3 = ((X1 @ X2))))))))),
% 3.20/0.80 inference(negated_conjecture,[status(cth)],[f1])).
% 3.20/0.80 thf(f3,plain,(
% 3.20/0.80 ~ ! [X0 : (a > $o)] : ? [X1 : (a > a)] : (! [X2 : a] : ((X0 @ X2) => (X0 @ (X1 @ X2))) & ! [X3 : a] : ((X0 @ X3) => ? [X4 : a] : ((((^[X5 : a, X6 : a] : ((X5 = X6))) @ X4)) = (^[X7 : a] : ((X0 @ X7) & (((X1 @ X7)) = X3))))))),
% 3.20/0.80 inference(rectify,[],[f2])).
% 3.20/0.80 thf(f4,plain,(
% 3.20/0.80 ~ ! [X0 : (a > $o)] : ? [X1 : (a > a)] : (! [X2 : a] : ((((X0 @ X2)) = $true) => (((X0 @ (X1 @ X2))) = $true)) & ! [X3 : a] : ((((X0 @ X3)) = $true) => ? [X4 : a] : ((((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X4)) = (^[Y0 : a]: (((X1 @ Y0) = X3) & (X0 @ Y0))))))),
% 3.20/0.80 inference(fool_elimination,[],[f3])).
% 3.20/0.80 thf(f5,plain,(
% 3.20/0.80 ? [X0 : (a > $o)] : ! [X1 : (a > a)] : (? [X3 : a] : (! [X4 : a] : ((((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X4)) != (^[Y0 : a]: (((X1 @ Y0) = X3) & (X0 @ Y0)))) & (((X0 @ X3)) = $true)) | ? [X2 : a] : ((((X0 @ (X1 @ X2))) != $true) & (((X0 @ X2)) = $true)))),
% 3.20/0.80 inference(ennf_transformation,[],[f4])).
% 3.20/0.80 thf(f6,plain,(
% 3.20/0.80 ? [X0 : (a > $o)] : ! [X1 : (a > a)] : (? [X2 : a] : (! [X3 : a] : ((((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X3)) != (^[Y0 : a]: (((X1 @ Y0) = X2) & (X0 @ Y0)))) & (((X0 @ X2)) = $true)) | ? [X4 : a] : (($true != ((X0 @ (X1 @ X4)))) & (((X0 @ X4)) = $true)))),
% 3.20/0.80 inference(rectify,[],[f5])).
% 3.20/0.80 thf(f7,plain,(
% 3.20/0.80 ! [X1 : (a > a)] : ((! [X3 : a] : ((^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0))) != (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X3))) & (((sK0 @ (sK1 @ X1))) = $true)) | ((((sK0 @ (X1 @ (sK2 @ X1)))) != $true) & ($true = ((sK0 @ (sK2 @ X1))))))),
% 3.20/0.80 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,vAPP,vAPP]),skolemize(X0,sK0),skolemize(X4,sK2 @ X1),skolemize(X4,sK2 @ X1)],[f6])).
% 3.20/0.80 thf(f8,plain,(
% 3.20/0.80 ( ! [X1 : (a > a)] : (($true = ((sK0 @ (sK2 @ X1)))) | (((sK0 @ (sK1 @ X1))) = $true)) )),
% 3.20/0.80 inference(cnf_transformation,[],[f7])).
% 3.20/0.80 thf(f9,plain,(
% 3.20/0.80 ( ! [X1 : (a > a)] : ((((sK0 @ (X1 @ (sK2 @ X1)))) != $true) | (((sK0 @ (sK1 @ X1))) = $true)) )),
% 3.20/0.80 inference(cnf_transformation,[],[f7])).
% 3.20/0.80 thf(f10,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : (((^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0))) != (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X3))) | ($true = ((sK0 @ (sK2 @ X1))))) )),
% 3.20/0.80 inference(cnf_transformation,[],[f7])).
% 3.20/0.80 thf(f11,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : (((^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0))) != (((^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ X3))) | (((sK0 @ (X1 @ (sK2 @ X1)))) != $true)) )),
% 3.20/0.80 inference(cnf_transformation,[],[f7])).
% 3.20/0.80 thf(f14,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((= @ X3)) != (^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0)))) | ($true = ((sK0 @ (sK2 @ X1))))) )),
% 3.20/0.80 inference(beta-eta_normalization,[],[f10])).
% 3.20/0.80 thf(f15,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((= @ X3)) != (^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0)))) | (((sK0 @ (X1 @ (sK2 @ X1)))) != $true)) )),
% 3.20/0.80 inference(beta-eta_normalization,[],[f11])).
% 3.20/0.80 thf(f16,plain,(
% 3.20/0.80 (((sK0 @ (sK1 @ (^[Y0 : a]: (Y0))))) = $true) | (((sK0 @ (sK1 @ (^[Y0 : a]: (Y0))))) = $true) | ($true != $true)),
% 3.20/0.80 inference(constrained_superposition,[],[f9,f8])).
% 3.20/0.80 thf(f18,plain,(
% 3.20/0.80 ($true != $true) | (((sK0 @ (sK1 @ (^[Y0 : a]: (Y0))))) = $true)),
% 3.20/0.80 inference(duplicate_literal_removal,[],[f16])).
% 3.20/0.80 thf(f19,plain,(
% 3.20/0.80 (((sK0 @ (sK1 @ (^[Y0 : a]: (Y0))))) = $true)),
% 3.20/0.80 inference(trivial_inequality_removal,[],[f18])).
% 3.20/0.80 thf(f27,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : (($true = ((sK0 @ (sK2 @ X1)))) | ((((^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0))) @ (sK3 @ X3 @ X1))) != ((X3 = (sK3 @ X3 @ X1))))) )),
% 3.20/0.80 inference(negative_extensionality,[],[f14])).
% 3.20/0.80 thf(f28,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : (((((^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0))) @ (sK3 @ X3 @ X1))) = $true) | (((X3 = (sK3 @ X3 @ X1))) = $true) | ($true = ((sK0 @ (sK2 @ X1))))) )),
% 3.20/0.80 inference(xor_proxy_clausification,[],[f27])).
% 3.20/0.80 thf(f29,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : (((((^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0))) @ (sK3 @ X3 @ X1))) = $false) | (((X3 = (sK3 @ X3 @ X1))) = $false) | ($true = ((sK0 @ (sK2 @ X1))))) )),
% 3.20/0.80 inference(xor_proxy_clausification,[],[f27])).
% 3.20/0.80 thf(f30,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((sK3 @ X3 @ X1)) != X3) | ($true = ((sK0 @ (sK2 @ X1)))) | ((((^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0))) @ (sK3 @ X3 @ X1))) = $false)) )),
% 3.20/0.80 inference(equality_proxy_clausification,[],[f29])).
% 3.20/0.80 thf(f31,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((sK3 @ X3 @ X1)) != X3) | ($true = ((sK0 @ (sK2 @ X1)))) | (((((X1 @ (sK3 @ X3 @ X1)) = (sK1 @ X1)) & (sK0 @ (sK3 @ X3 @ X1)))) = $false)) )),
% 3.20/0.80 inference(beta-eta_normalization,[],[f30])).
% 3.20/0.80 thf(f32,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : (((((X1 @ (sK3 @ X3 @ X1)) = (sK1 @ X1))) = $false) | (((sK0 @ (sK3 @ X3 @ X1))) = $false) | (((sK3 @ X3 @ X1)) != X3) | ($true = ((sK0 @ (sK2 @ X1))))) )),
% 3.20/0.80 inference(and_proxy_clausification,[],[f31])).
% 3.20/0.80 thf(f33,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((X1 @ (sK3 @ X3 @ X1))) != ((sK1 @ X1))) | (((sK3 @ X3 @ X1)) != X3) | (((sK0 @ (sK3 @ X3 @ X1))) = $false) | ($true = ((sK0 @ (sK2 @ X1))))) )),
% 3.20/0.80 inference(equality_proxy_clausification,[],[f32])).
% 3.20/0.80 thf(f34,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : (($true = ((sK0 @ (sK2 @ X1)))) | (((sK3 @ X3 @ X1)) = X3) | ((((^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0))) @ (sK3 @ X3 @ X1))) = $true)) )),
% 3.20/0.80 inference(equality_proxy_clausification,[],[f28])).
% 3.20/0.80 thf(f35,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : (($true = ((sK0 @ (sK2 @ X1)))) | (((sK3 @ X3 @ X1)) = X3) | (((((X1 @ (sK3 @ X3 @ X1)) = (sK1 @ X1)) & (sK0 @ (sK3 @ X3 @ X1)))) = $true)) )),
% 3.20/0.80 inference(beta-eta_normalization,[],[f34])).
% 3.20/0.80 thf(f37,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((sK3 @ X3 @ X1)) = X3) | ($true = ((sK0 @ (sK2 @ X1)))) | ($true = (((X1 @ (sK3 @ X3 @ X1)) = (sK1 @ X1))))) )),
% 3.20/0.80 inference(and_proxy_clausification,[],[f35])).
% 3.20/0.80 thf(f38,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((X1 @ (sK3 @ X3 @ X1))) = ((sK1 @ X1))) | ($true = ((sK0 @ (sK2 @ X1)))) | (((sK3 @ X3 @ X1)) = X3)) )),
% 3.20/0.80 inference(equality_proxy_clausification,[],[f37])).
% 3.20/0.80 thf(f39,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : (((((^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0))) @ (sK4 @ X3 @ X1))) != ((X3 = (sK4 @ X3 @ X1)))) | (((sK0 @ (X1 @ (sK2 @ X1)))) != $true)) )),
% 3.20/0.80 inference(negative_extensionality,[],[f15])).
% 3.20/0.80 thf(f40,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : (((((^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0))) @ (sK4 @ X3 @ X1))) = $true) | (((sK0 @ (X1 @ (sK2 @ X1)))) != $true) | (((X3 = (sK4 @ X3 @ X1))) = $true)) )),
% 3.20/0.80 inference(xor_proxy_clausification,[],[f39])).
% 3.20/0.80 thf(f41,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((sK0 @ (X1 @ (sK2 @ X1)))) != $true) | (((X3 = (sK4 @ X3 @ X1))) = $false) | ((((^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0))) @ (sK4 @ X3 @ X1))) = $false)) )),
% 3.20/0.80 inference(xor_proxy_clausification,[],[f39])).
% 3.20/0.80 thf(f42,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((sK0 @ (X1 @ (sK2 @ X1)))) != $true) | (((sK4 @ X3 @ X1)) != X3) | ((((^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0))) @ (sK4 @ X3 @ X1))) = $false)) )),
% 3.20/0.80 inference(equality_proxy_clausification,[],[f41])).
% 3.20/0.80 thf(f43,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((sK4 @ X3 @ X1)) != X3) | ($false = ((((X1 @ (sK4 @ X3 @ X1)) = (sK1 @ X1)) & (sK0 @ (sK4 @ X3 @ X1))))) | (((sK0 @ (X1 @ (sK2 @ X1)))) != $true)) )),
% 3.20/0.80 inference(beta-eta_normalization,[],[f42])).
% 3.20/0.80 thf(f44,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((sK0 @ (X1 @ (sK2 @ X1)))) != $true) | ($false = ((sK0 @ (sK4 @ X3 @ X1)))) | (((sK4 @ X3 @ X1)) != X3) | ((((X1 @ (sK4 @ X3 @ X1)) = (sK1 @ X1))) = $false)) )),
% 3.20/0.80 inference(and_proxy_clausification,[],[f43])).
% 3.20/0.80 thf(f45,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((X1 @ (sK4 @ X3 @ X1))) != ((sK1 @ X1))) | ($false = ((sK0 @ (sK4 @ X3 @ X1)))) | (((sK0 @ (X1 @ (sK2 @ X1)))) != $true) | (((sK4 @ X3 @ X1)) != X3)) )),
% 3.20/0.80 inference(equality_proxy_clausification,[],[f44])).
% 3.20/0.80 thf(f46,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : (((((^[Y0 : a]: (((X1 @ Y0) = (sK1 @ X1)) & (sK0 @ Y0))) @ (sK4 @ X3 @ X1))) = $true) | (((sK0 @ (X1 @ (sK2 @ X1)))) != $true) | (((sK4 @ X3 @ X1)) = X3)) )),
% 3.20/0.80 inference(equality_proxy_clausification,[],[f40])).
% 3.20/0.80 thf(f47,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : (($true = ((((X1 @ (sK4 @ X3 @ X1)) = (sK1 @ X1)) & (sK0 @ (sK4 @ X3 @ X1))))) | (((sK0 @ (X1 @ (sK2 @ X1)))) != $true) | (((sK4 @ X3 @ X1)) = X3)) )),
% 3.20/0.80 inference(beta-eta_normalization,[],[f46])).
% 3.20/0.80 thf(f49,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((sK0 @ (X1 @ (sK2 @ X1)))) != $true) | ($true = (((X1 @ (sK4 @ X3 @ X1)) = (sK1 @ X1)))) | (((sK4 @ X3 @ X1)) = X3)) )),
% 3.20/0.80 inference(and_proxy_clausification,[],[f47])).
% 3.20/0.80 thf(f50,plain,(
% 3.20/0.80 ( ! [X3 : a,X1 : (a > a)] : ((((X1 @ (sK4 @ X3 @ X1))) = ((sK1 @ X1))) | (((sK0 @ (X1 @ (sK2 @ X1)))) != $true) | (((sK4 @ X3 @ X1)) = X3)) )),
% 3.20/0.80 inference(equality_proxy_clausification,[],[f49])).
% 3.20/0.80 thf(f64,plain,(
% 3.20/0.80 ( ! [X0 : (a > a),X1 : a] : ((((X0 @ (sK3 @ X1 @ X0))) != ((sK3 @ X1 @ X0))) | (((sK1 @ X0)) != X1) | (((sK0 @ (sK2 @ X0))) = $true) | (((sK3 @ X1 @ X0)) = X1)) )),
% 3.20/0.80 inference(equality_factoring,[],[f38])).
% 3.20/0.80 thf(f92,plain,(
% 3.20/0.80 ( ! [X0 : (a > a),X1 : a] : ((((X0 @ (sK4 @ X1 @ X0))) != ((sK4 @ X1 @ X0))) | ($true != ((sK0 @ (X0 @ (sK2 @ X0))))) | (((sK1 @ X0)) != X1) | (((sK4 @ X1 @ X0)) = X1)) )),
% 3.20/0.80 inference(equality_factoring,[],[f50])).
% 3.20/0.80 thf(f109,plain,(
% 3.20/0.80 ( ! [X0 : a] : ((((sK3 @ X0 @ (^[Y0 : a]: (Y0)))) = X0) | ($true = ((sK0 @ (sK2 @ (^[Y0 : a]: (Y0)))))) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0)) )),
% 3.20/0.80 inference(equality_resolution,[],[f64])).
% 3.20/0.80 thf(f137,plain,(
% 3.20/0.80 ( ! [X0 : a] : ((((sK0 @ X0)) = $false) | ($true = ((sK0 @ (sK2 @ (^[Y0 : a]: (Y0)))))) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0) | ($true = ((sK0 @ (sK2 @ (^[Y0 : a]: (Y0)))))) | ((((^[Y0 : a]: (Y0)) @ X0)) != ((sK1 @ (^[Y0 : a]: (Y0))))) | (X0 != X0)) )),
% 3.20/0.80 inference(constrained_superposition,[],[f33,f109])).
% 3.20/0.80 thf(f150,plain,(
% 3.20/0.80 ( ! [X0 : a] : (($true = ((sK0 @ (sK2 @ (^[Y0 : a]: (Y0)))))) | (((sK0 @ X0)) = $false) | (X0 != X0) | ((((^[Y0 : a]: (Y0)) @ X0)) != ((sK1 @ (^[Y0 : a]: (Y0))))) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0)) )),
% 3.20/0.80 inference(duplicate_literal_removal,[],[f137])).
% 3.20/0.80 thf(f151,plain,(
% 3.20/0.80 ( ! [X0 : a] : (((((^[Y0 : a]: (Y0)) @ X0)) != ((sK1 @ (^[Y0 : a]: (Y0))))) | ($true = ((sK0 @ (sK2 @ (^[Y0 : a]: (Y0)))))) | (((sK0 @ X0)) = $false) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0)) )),
% 3.20/0.80 inference(trivial_inequality_removal,[],[f150])).
% 3.20/0.80 thf(f152,plain,(
% 3.20/0.80 ( ! [X0 : a] : ((((sK1 @ (^[Y0 : a]: (Y0)))) != X0) | (((sK0 @ X0)) = $false) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0) | ($true = ((sK0 @ (sK2 @ (^[Y0 : a]: (Y0))))))) )),
% 3.20/0.80 inference(beta-eta_normalization,[],[f151])).
% 3.20/0.80 thf(f153,plain,(
% 3.20/0.80 ( ! [X0 : a] : (($true = ((sK0 @ (sK2 @ (^[Y0 : a]: (Y0)))))) | (((sK0 @ X0)) = $false) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0)) )),
% 3.20/0.80 inference(duplicate_literal_removal,[],[f152])).
% 3.20/0.80 thf(f237,plain,(
% 3.20/0.80 ( ! [X0 : a] : (($true != ((sK0 @ ((^[Y0 : a]: (Y0)) @ (sK2 @ (^[Y0 : a]: (Y0))))))) | (((sK4 @ X0 @ (^[Y0 : a]: (Y0)))) = X0) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0)) )),
% 3.20/0.80 inference(equality_resolution,[],[f92])).
% 3.20/0.80 thf(f246,plain,(
% 3.20/0.80 ( ! [X0 : a] : ((((sK4 @ X0 @ (^[Y0 : a]: (Y0)))) = X0) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0) | ($true != ((sK0 @ (sK2 @ (^[Y0 : a]: (Y0))))))) )),
% 3.20/0.80 inference(beta-eta_normalization,[],[f237])).
% 3.20/0.80 thf(f272,plain,(
% 3.20/0.80 ( ! [X0 : a] : ((((sK1 @ (^[Y0 : a]: (Y0)))) != X0) | ($true != ((sK0 @ ((^[Y0 : a]: (Y0)) @ (sK2 @ (^[Y0 : a]: (Y0))))))) | (X0 != X0) | (((sK0 @ X0)) = $false) | ((((^[Y0 : a]: (Y0)) @ X0)) != ((sK1 @ (^[Y0 : a]: (Y0))))) | ($true != ((sK0 @ (sK2 @ (^[Y0 : a]: (Y0))))))) )),
% 3.20/0.80 inference(constrained_superposition,[],[f45,f246])).
% 3.20/0.80 thf(f290,plain,(
% 3.20/0.80 ( ! [X0 : a] : (($true != ((sK0 @ (sK2 @ (^[Y0 : a]: (Y0)))))) | (((sK0 @ X0)) = $false) | ((((^[Y0 : a]: (Y0)) @ X0)) != ((sK1 @ (^[Y0 : a]: (Y0))))) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0) | ($true != ((sK0 @ ((^[Y0 : a]: (Y0)) @ (sK2 @ (^[Y0 : a]: (Y0)))))))) )),
% 3.20/0.80 inference(trivial_inequality_removal,[],[f272])).
% 3.20/0.80 thf(f291,plain,(
% 3.20/0.80 ( ! [X0 : a] : ((((sK0 @ X0)) = $false) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0) | ($true != ((sK0 @ (sK2 @ (^[Y0 : a]: (Y0)))))) | ($true != ((sK0 @ (sK2 @ (^[Y0 : a]: (Y0)))))) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0)) )),
% 3.20/0.80 inference(beta-eta_normalization,[],[f290])).
% 3.20/0.80 thf(f292,plain,(
% 3.20/0.80 ( ! [X0 : a] : (($true != ((sK0 @ (sK2 @ (^[Y0 : a]: (Y0)))))) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0) | (((sK0 @ X0)) = $false)) )),
% 3.20/0.80 inference(duplicate_literal_removal,[],[f291])).
% 3.20/0.80 thf(f299,plain,(
% 3.20/0.80 ( ! [X0 : a,X1 : a] : ((((sK0 @ X0)) = $false) | ($true != $true) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X1) | (((sK0 @ X1)) = $false)) )),
% 3.20/0.80 inference(constrained_superposition,[],[f292,f153])).
% 3.20/0.80 thf(f300,plain,(
% 3.20/0.80 ( ! [X0 : a,X1 : a] : ((((sK1 @ (^[Y0 : a]: (Y0)))) != X1) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0) | (((sK0 @ X0)) = $false) | (((sK0 @ X1)) = $false)) )),
% 3.20/0.80 inference(trivial_inequality_removal,[],[f299])).
% 3.20/0.80 thf(f302,plain,(
% 3.20/0.80 ( ! [X0 : a] : ((((sK0 @ (sK1 @ (^[Y0 : a]: (Y0))))) = $false) | (((sK1 @ (^[Y0 : a]: (Y0)))) != X0) | (((sK0 @ X0)) = $false)) )),
% 3.20/0.80 inference(equality_resolution,[],[f300])).
% 3.20/0.80 thf(f303,plain,(
% 3.20/0.80 ( ! [X0 : a] : ((((sK1 @ (^[Y0 : a]: (Y0)))) != X0) | (((sK0 @ X0)) = $false) | ($true = $false)) )),
% 3.20/0.80 inference(forward_demodulation,[],[f302,f19])).
% 3.20/0.80 thf(f304,plain,(
% 3.20/0.80 ( ! [X0 : a] : ((((sK1 @ (^[Y0 : a]: (Y0)))) != X0) | (((sK0 @ X0)) = $false)) )),
% 3.20/0.80 inference(trivial_inequality_removal,[],[f303])).
% 3.20/0.80 thf(f305,plain,(
% 3.20/0.80 (((sK0 @ (sK1 @ (^[Y0 : a]: (Y0))))) = $false)),
% 3.20/0.80 inference(equality_resolution,[],[f304])).
% 3.20/0.80 thf(f312,plain,(
% 3.20/0.80 ($true = $false)),
% 3.20/0.80 inference(constrained_superposition,[],[f19,f305])).
% 3.20/0.80 thf(f314,plain,(
% 3.20/0.80 $false),
% 3.20/0.80 inference(trivial_inequality_removal,[],[f312])).
% 3.20/0.80 % SZS output end Proof for theBenchmark
% 3.20/0.80 % (1169337)------------------------------
% 3.20/0.80 % (1169337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.20/0.80 % (1169337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.20/0.80 % (1169337)CaDiCaL version: 2.1.3
% 3.20/0.80 % (1169337)Termination reason: Refutation
% 3.20/0.80 % (1169337)Time elapsed: 0.030 s
% 3.20/0.80 % (1169337)Peak memory usage: 12 MB
% 3.20/0.80 % (1169337)Instructions burned: 61 (million)
% 3.20/0.80 % (1169243)Success in time 0.434 s
% 3.20/0.80 % Vampire exiting
%------------------------------------------------------------------------------